37105287970921 has 27 divisors (see below), whose sum is σ = 38438785782597. Its totient is φ = 35817496680000.

The previous prime is 37105287970903. The next prime is 37105287970987. The reversal of 37105287970921 is 12907978250173.

The square root of 37105287970921 is 6091411.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 17918767321 + 37087369203600 = 133861^2 + 6089940^2 .

It is a de Polignac number, because none of the positive numbers 2^k-37105287970921 is a prime.

It is a super-2 number, since 2×37105287970921² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 37105287970921.

It is not an unprimeable number, because it can be changed into a prime (37105287070921) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 25224532216 + ... + 25224533686.

Almost surely, 2^{37105287970921} is an apocalyptic number.

37105287970921 is the 6091411-st square number.

37105287970921 is the 3045706-th centered octagonal number.

It is an amenable number.

37105287970921 is a deficient number, since it is larger than the sum of its proper divisors (1333497811676).

37105287970921 is an frugal number, since it uses more digits than its factorization.

37105287970921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3226 (or 1613 counting only the distinct ones).

The product of its (nonzero) digits is 13335840, while the sum is 61.

The spelling of 37105287970921 in words is "thirty-seven trillion, one hundred five billion, two hundred eighty-seven million, nine hundred seventy thousand, nine hundred twenty-one".