372813 has 16 divisors (see below), whose sum is σ = 583296. Its totient is φ = 207360.

The previous prime is 372809. The next prime is 372817. The reversal of 372813 is 318273.

It is an interprime number because it is at equal distance from previous prime (372809) and next prime (372817).

It is not a de Polignac number, because 372813 - 2² = 372809 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (372817) 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, 645 + ... + 1077.

It is an arithmetic number, because the mean of its divisors is an integer number (36456).

2³⁷²⁸¹³ is an apocalyptic number.

It is an amenable number.

372813 is a deficient number, since it is larger than the sum of its proper divisors (210483).

372813 is a wasteful number, since it uses less digits than its factorization.

372813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484.

The product of its digits is 1008, while the sum is 24.

The square root of 372813 is about 610.5841465351. The cubic root of 372813 is about 71.9720184479.

It can be divided in two parts, 3728 and 13, that added together give a triangular number (3741 = T₈₆).

The spelling of 372813 in words is "three hundred seventy-two thousand, eight hundred thirteen".