362980 has 12 divisors (see below), whose sum is σ = 762300. Its totient is φ = 145184.

The previous prime is 362977. The next prime is 362983. The reversal of 362980 is 89263.

It is an interprime number because it is at equal distance from previous prime (362977) and next prime (362983).

It can be written as a sum of positive squares in 2 ways, for example, as 116964 + 246016 = 342^2 + 496^2 .

It is not an unprimeable number, because it can be changed into a prime (362983) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9055 + ... + 9094.

It is an arithmetic number, because the mean of its divisors is an integer number (63525).

2³⁶²⁹⁸⁰ is an apocalyptic number.

It is an amenable number.

362980 is an abundant number, since it is smaller than the sum of its proper divisors (399320).

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

362980 is a wasteful number, since it uses less digits than its factorization.

362980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18158 (or 18156 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 362980 is about 602.4782153738. The cubic root of 362980 is about 71.3336147736. Note that the first 3 decimals are identical.

The spelling of 362980 in words is "three hundred sixty-two thousand, nine hundred eighty".