362916 has 36 divisors (see below), whose sum is σ = 972972. Its totient is φ = 113664.

The previous prime is 362911. The next prime is 362927. The reversal of 362916 is 619263.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 254016 + 108900 = 504^2 + 330^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 362916.

It is not an unprimeable number, because it can be changed into a prime (362911) by changing a digit.

362916 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 316 + ... + 908.

It is an arithmetic number, because the mean of its divisors is an integer number (27027).

2³⁶²⁹¹⁶ is an apocalyptic number.

362916 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 362916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486486).

362916 is an abundant number, since it is smaller than the sum of its proper divisors (610056).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

362916 is a wasteful number, since it uses less digits than its factorization.

362916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620 (or 615 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 362916 is about 602.4250990787. The cubic root of 362916 is about 71.3294220544.

It can be divided in two parts, 36 and 2916, that multiplied together give a 4-th power (104976 = 18⁴).

The spelling of 362916 in words is "three hundred sixty-two thousand, nine hundred sixteen".