36557401 has 12 divisors (see below), whose sum is σ = 38230500. Its totient is φ = 34953120.

The previous prime is 36557377. The next prime is 36557407. The reversal of 36557401 is 10475563.

36557401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 26163225 + 10394176 = 5115^2 + 3224^2 .

It is not a de Polignac number, because 36557401 - 2¹⁵ = 36524633 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (36557407) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 104575 + ... + 104923.

It is an arithmetic number, because the mean of its divisors is an integer number (3185875).

Almost surely, 2^36557401 is an apocalyptic number.

36557401 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

36557401 is a deficient number, since it is larger than the sum of its proper divisors (1673099).

36557401 is a wasteful number, since it uses less digits than its factorization.

36557401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 31.

The square root of 36557401 is about 6046.2716611148. The cubic root of 36557401 is about 331.8881687751. Note that the first 3 decimals are identical.

The spelling of 36557401 in words is "thirty-six million, five hundred fifty-seven thousand, four hundred one".