36881225 has 12 divisors (see below), whose sum is σ = 46044300. Its totient is φ = 29304000.

The previous prime is 36881219. The next prime is 36881231. The reversal of 36881225 is 52218863.

It is an interprime number because it is at equal distance from previous prime (36881219) and next prime (36881231).

It can be written as a sum of positive squares in 6 ways, for example, as 169744 + 36711481 = 412^2 + 6059^2 .

It is not a de Polignac number, because 36881225 - 2⁴ = 36881209 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 11 ways as a sum of consecutive naturals, for example, 1226 + ... + 8675.

It is an arithmetic number, because the mean of its divisors is an integer number (3837025).

Almost surely, 2^36881225 is an apocalyptic number.

It is an amenable number.

36881225 is a deficient number, since it is larger than the sum of its proper divisors (9163075).

36881225 is a wasteful number, since it uses less digits than its factorization.

36881225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10060 (or 10055 counting only the distinct ones).

The product of its digits is 23040, while the sum is 35.

The square root of 36881225 is about 6072.9914375043. The cubic root of 36881225 is about 332.8652401964.

It can be divided in two parts, 3688 and 1225, that added together give a cube (4913 = 17³).

The spelling of 36881225 in words is "thirty-six million, eight hundred eighty-one thousand, two hundred twenty-five".