37828131 has 8 divisors (see below), whose sum is σ = 55022784. Its totient is φ = 22926120.

The previous prime is 37828127. The next prime is 37828181. The reversal of 37828131 is 13182873.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 37828131 - 2² = 37828127 is a prime.

It is a super-2 number, since 2×37828131² = 2861934989906322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33), and also a Moran number because the ratio is a prime number: 1146307 = 37828131 / (3 + 7 + 8 + 2 + 8 + 1 + 3 + 1).

It is a junction number, because it is equal to n+sod(n) for n = 37828092 and 37828101.

It is not an unprimeable number, because it can be changed into a prime (37828121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 573121 + ... + 573186.

It is an arithmetic number, because the mean of its divisors is an integer number (6877848).

Almost surely, 2^37828131 is an apocalyptic number.

37828131 is a deficient number, since it is larger than the sum of its proper divisors (17194653).

37828131 is a wasteful number, since it uses less digits than its factorization.

37828131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1146321.

The product of its digits is 8064, while the sum is 33.

The square root of 37828131 is about 6150.4577878399. The cubic root of 37828131 is about 335.6899155217.

The spelling of 37828131 in words is "thirty-seven million, eight hundred twenty-eight thousand, one hundred thirty-one".