36971528 has 32 divisors (see below), whose sum is σ = 77060160. Its totient is φ = 16486080.

The previous prime is 36971527. The next prime is 36971531. The reversal of 36971528 is 82517963.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (36971527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 701 + ... + 8627.

It is an arithmetic number, because the mean of its divisors is an integer number (2408130).

Almost surely, 2^36971528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36971528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38530080).

36971528 is an abundant number, since it is smaller than the sum of its proper divisors (40088632).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

36971528 is a wasteful number, since it uses less digits than its factorization.

36971528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7997 (or 7993 counting only the distinct ones).

The product of its digits is 90720, while the sum is 41.

The square root of 36971528 is about 6080.4216959023. The cubic root of 36971528 is about 333.1366902395.

It can be divided in two parts, 3697 and 1528, that added together give a palindrome (5225).

The spelling of 36971528 in words is "thirty-six million, nine hundred seventy-one thousand, five hundred twenty-eight".