36988601 has 16 divisors (see below), whose sum is σ = 42230160. Its totient is φ = 32148480.

The previous prime is 36988597. The next prime is 36988603. The reversal of 36988601 is 10688963.

36988601 = 4300² + 4301².

It is a happy number.

36988601 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 8 ways, for example, as 18498601 + 18490000 = 4301^2 + 4300^2 .

It is not a de Polignac number, because 36988601 - 2² = 36988597 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (36988603) 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 15 ways as a sum of consecutive naturals, for example, 14261 + ... + 16653.

It is an arithmetic number, because the mean of its divisors is an integer number (2639385).

Almost surely, 2^36988601 is an apocalyptic number.

36988601 is the 4301-st centered square number.

It is an amenable number.

36988601 is a deficient number, since it is larger than the sum of its proper divisors (5241559).

36988601 is a wasteful number, since it uses less digits than its factorization.

36988601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2476.

The product of its (nonzero) digits is 62208, while the sum is 41.

The square root of 36988601 is about 6081.8254660916. The cubic root of 36988601 is about 333.1879618328.

The spelling of 36988601 in words is "thirty-six million, nine hundred eighty-eight thousand, six hundred one".