40972801 has 9 divisors (see below), whose sum is σ = 42354921. Its totient is φ = 39634992.

The previous prime is 40972787. The next prime is 40972807. The reversal of 40972801 is 10827904.

The square root of 40972801 is 6401.

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 26532801 + 14440000 = 5151^2 + 3800^2 .

It is not a de Polignac number, because 40972801 - 2⁵ = 40972769 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40972807) 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, 236751 + ... + 236923.

Almost surely, 2^40972801 is an apocalyptic number.

40972801 is the 6401-st square number.

40972801 is the 3201-st centered octagonal number.

It is an amenable number.

40972801 is a deficient number, since it is larger than the sum of its proper divisors (1382120).

40972801 is an frugal number, since it uses more digits than its factorization.

40972801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 31.

The cubic root of 40972801 is about 344.7454567149.

The spelling of 40972801 in words is "forty million, nine hundred seventy-two thousand, eight hundred one".