32029902961 has 27 divisors (see below), whose sum is σ = 38348996427. Its totient is φ = 26673539760.

The previous prime is 32029902941. The next prime is 32029902967. The reversal of 32029902961 is 16920992023.

It is a happy number.

The square root of 32029902961 is 178969.

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., 28660797025 + 3369105936 = 169295^2 + 58044^2 .

It is not a de Polignac number, because 32029902961 - 2¹⁹ = 32029378673 is a prime.

It is not an unprimeable number, because it can be changed into a prime (32029902967) 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, 46352626 + ... + 46353316.

It is an arithmetic number, because the mean of its divisors is an integer number (1420333201).

Almost surely, 2^32029902961 is an apocalyptic number.

32029902961 is the 178969-th square number.

32029902961 is the 89485-th centered octagonal number.

It is an amenable number.

32029902961 is a deficient number, since it is larger than the sum of its proper divisors (6319093466).

32029902961 is an frugal number, since it uses more digits than its factorization.

32029902961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1470 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 43.

The spelling of 32029902961 in words is "thirty-two billion, twenty-nine million, nine hundred two thousand, nine hundred sixty-one".