1972958331 has 16 divisors (see below), whose sum is σ = 2751736320. Its totient is φ = 1255024320.

The previous prime is 1972958329. The next prime is 1972958333. The reversal of 1972958331 is 1338592791.

It is an interprime number because it is at equal distance from previous prime (1972958329) and next prime (1972958333).

It is not a de Polignac number, because 1972958331 - 2¹ = 1972958329 is a prime.

It is a super-2 number, since 2×1972958331² = 7785129151724611122, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1972958333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6735 + ... + 63176.

It is an arithmetic number, because the mean of its divisors is an integer number (171983520).

Almost surely, 2^1972958331 is an apocalyptic number.

1972958331 is a deficient number, since it is larger than the sum of its proper divisors (778777989).

1972958331 is a wasteful number, since it uses less digits than its factorization.

1972958331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70346.

The product of its digits is 408240, while the sum is 48.

The square root of 1972958331 is about 44417.9955761176. The cubic root of 1972958331 is about 1254.2168690292.

It can be divided in two parts, 197 and 2958331, that added together give a triangular number (2958528 = T₂₄₃₂).

The spelling of 1972958331 in words is "one billion, nine hundred seventy-two million, nine hundred fifty-eight thousand, three hundred thirty-one".