36972481 has 16 divisors (see below), whose sum is σ = 45649408. Its totient is φ = 29160000.

The previous prime is 36972479. The next prime is 36972493. The reversal of 36972481 is 18427963.

It is a 6-Lehmer number, since φ(36972481) divides (36972481-1)⁶.

It is a cyclic number.

It is not a de Polignac number, because 36972481 - 2¹ = 36972479 is a prime.

It is a super-2 number, since 2×36972481² = 2733928702590722, which contains 22 as substring.

It is the 6081-st Hogben number.

It is not an unprimeable number, because it can be changed into a prime (36972451) by changing a digit.

It is a nontrivial repunit in base 6080.

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 15 ways as a sum of consecutive naturals, for example, 48856 + ... + 49606.

It is an arithmetic number, because the mean of its divisors is an integer number (2853088).

Almost surely, 2^36972481 is an apocalyptic number.

It is an amenable number.

36972481 is a deficient number, since it is larger than the sum of its proper divisors (8676927).

36972481 is a wasteful number, since it uses less digits than its factorization.

36972481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312.

The product of its digits is 72576, while the sum is 40.

The square root of 36972481 is about 6080.5000616726. The cubic root of 36972481 is about 333.1395525911.

The spelling of 36972481 in words is "thirty-six million, nine hundred seventy-two thousand, four hundred eighty-one".