36766401 has 16 divisors (see below), whose sum is σ = 56112000. Its totient is φ = 20976768.

The previous prime is 36766399. The next prime is 36766409. The reversal of 36766401 is 10466763.

It is not a de Polignac number, because 36766401 - 2¹ = 36766399 is a prime.

It is not an unprimeable number, because it can be changed into a prime (36766409) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21195 + ... + 22863.

It is an arithmetic number, because the mean of its divisors is an integer number (3507000).

Almost surely, 2^36766401 is an apocalyptic number.

It is an amenable number.

36766401 is a deficient number, since it is larger than the sum of its proper divisors (19345599).

36766401 is a wasteful number, since it uses less digits than its factorization.

36766401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2728.

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 36766401 is about 6063.5304072792. The cubic root of 36766401 is about 332.5194395705.

The spelling of 36766401 in words is "thirty-six million, seven hundred sixty-six thousand, four hundred one".