40972635 has 80 divisors (see below), whose sum is σ = 84994272. Its totient is φ = 18662400.

The previous prime is 40972619. The next prime is 40972643. The reversal of 40972635 is 53627904.

40972635 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 40972635 - 2⁴ = 40972619 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 40972635.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 75465 + ... + 76005.

Almost surely, 2^40972635 is an apocalyptic number.

40972635 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

40972635 is an abundant number, since it is smaller than the sum of its proper divisors (44021637).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40972635 is a wasteful number, since it uses less digits than its factorization.

40972635 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 40972635 is about 6400.9870332629. The cubic root of 40972635 is about 344.7449911392.

The spelling of 40972635 in words is "forty million, nine hundred seventy-two thousand, six hundred thirty-five".