3137232121 has 9 divisors (see below), whose sum is σ = 3181934511. Its totient is φ = 3093151464.

The previous prime is 3137232097. The next prime is 3137232143. The reversal of 3137232121 is 1212327313.

It is a happy number.

The square root of 3137232121 is 56011.

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

It can be written as a sum of positive squares in only one way, i.e., 418652521 + 2718579600 = 20461^2 + 52140^2 .

It is not a de Polignac number, because 3137232121 - 2⁵ = 3137232089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3137232181) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4424515 + ... + 4425223.

It is an arithmetic number, because the mean of its divisors is an integer number (353548279).

Almost surely, 2^3137232121 is an apocalyptic number.

3137232121 is the 56011-st square number.

3137232121 is the 28006-th centered octagonal number.

It is an amenable number.

3137232121 is a deficient number, since it is larger than the sum of its proper divisors (44702390).

3137232121 is an frugal number, since it uses more digits than its factorization.

3137232121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1576 (or 788 counting only the distinct ones).

The product of its digits is 1512, while the sum is 25.

The cubic root of 3137232121 is about 1463.9139556527.

Multiplying 3137232121 by its sum of digits (25), we get a square (78430803025 = 280055²).

Adding to 3137232121 its reverse (1212327313), we get a palindrome (4349559434).

It can be divided in two parts, 313723 and 2121, that added together give a square (315844 = 562²).

The spelling of 3137232121 in words is "three billion, one hundred thirty-seven million, two hundred thirty-two thousand, one hundred twenty-one".