36801625 has 32 divisors (see below), whose sum is σ = 53044992. Its totient is φ = 24969600.

The previous prime is 36801581. The next prime is 36801647. The reversal of 36801625 is 52610863.

It is not a de Polignac number, because 36801625 - 2⁷ = 36801497 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 119722 + ... + 120028.

It is an arithmetic number, because the mean of its divisors is an integer number (1657656).

Almost surely, 2^36801625 is an apocalyptic number.

36801625 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

36801625 is a deficient number, since it is larger than the sum of its proper divisors (16243367).

36801625 is a wasteful number, since it uses less digits than its factorization.

36801625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 36801625 is about 6066.4342904214. The cubic root of 36801625 is about 332.6255956077.

The spelling of 36801625 in words is "thirty-six million, eight hundred one thousand, six hundred twenty-five".