36789129 has 24 divisors (see below), whose sum is σ = 57886920. Its totient is φ = 22378752.

The previous prime is 36789119. The next prime is 36789163. The reversal of 36789129 is 92198763.

36789129 = 1177² + 1178² + ... + 1202².

It can be written as a sum of positive squares in 4 ways, for example, as 1505529 + 35283600 = 1227^2 + 5940^2 .

It is not a de Polignac number, because 36789129 - 2⁴ = 36789113 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (36789119) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8647 + ... + 12179.

It is an arithmetic number, because the mean of its divisors is an integer number (2411955).

Almost surely, 2^36789129 is an apocalyptic number.

36789129 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

It is an amenable number.

36789129 is a deficient number, since it is larger than the sum of its proper divisors (21097791).

36789129 is a wasteful number, since it uses less digits than its factorization.

36789129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3641 (or 3638 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 36789129 is about 6065.4042734182. The cubic root of 36789129 is about 332.5879436473.

The spelling of 36789129 in words is "thirty-six million, seven hundred eighty-nine thousand, one hundred twenty-nine".