37313316 has 72 divisors (see below), whose sum is σ = 98138040. Its totient is φ = 11943936.

The previous prime is 37313303. The next prime is 37313323. The reversal of 37313316 is 61331373.

37313316 is a `hidden beast` number, since 37 + 313 + 316 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 28132416 + 9180900 = 5304^2 + 3030^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 37313316.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145060 + ... + 145316.

Almost surely, 2^37313316 is an apocalyptic number.

37313316 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37313316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49069020).

37313316 is an abundant number, since it is smaller than the sum of its proper divisors (60824724).

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

37313316 is a wasteful number, since it uses less digits than its factorization.

37313316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 408 counting only the distinct ones).

The product of its digits is 3402, while the sum is 27.

The square root of 37313316 is about 6108.4626543837. The cubic root of 37313316 is about 334.1601178090.

Adding to 37313316 its reverse (61331373), we get a palindrome (98644689).

It can be divided in two parts, 373 and 13316, that added together give a square (13689 = 117²).

The spelling of 37313316 in words is "thirty-seven million, three hundred thirteen thousand, three hundred sixteen".