362964 has 48 divisors (see below), whose sum is σ = 1008000. Its totient is φ = 99456.

The previous prime is 362953. The next prime is 362969. The reversal of 362964 is 469263.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (362969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2362 + ... + 2510.

It is an arithmetic number, because the mean of its divisors is an integer number (21000).

2³⁶²⁹⁶⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 362964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504000).

362964 is an abundant number, since it is smaller than the sum of its proper divisors (645036).

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

362964 is a wasteful number, since it uses less digits than its factorization.

362964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 190 counting only the distinct ones).

The product of its digits is 7776, while the sum is 30.

The square root of 362964 is about 602.4649367391. The cubic root of 362964 is about 71.3325666400.

It can be divided in two parts, 362 and 964, that added together give a triangular number (1326 = T₅₁).

The spelling of 362964 in words is "three hundred sixty-two thousand, nine hundred sixty-four".