362961 has 10 divisors (see below), whose sum is σ = 542322. Its totient is φ = 241920.

The previous prime is 362953. The next prime is 362969. The reversal of 362961 is 169263.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (362953) and next prime (362969).

It can be written as a sum of positive squares in only one way, i.e., 342225 + 20736 = 585^2 + 144^2 .

It is not a de Polignac number, because 362961 - 2³ = 362953 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 9 ways as a sum of consecutive naturals, for example, 2160 + ... + 2321.

2³⁶²⁹⁶¹ is an apocalyptic number.

It is an amenable number.

362961 is a deficient number, since it is larger than the sum of its proper divisors (179361).

362961 is an equidigital number, since it uses as much as digits as its factorization.

362961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4493 (or 4484 counting only the distinct ones).

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

The square root of 362961 is about 602.4624469625. The cubic root of 362961 is about 71.3323701115.

The spelling of 362961 in words is "three hundred sixty-two thousand, nine hundred sixty-one".