83436125 has 36 divisors (see below), whose sum is σ = 112512348. Its totient is φ = 61765200.

The previous prime is 83436109. The next prime is 83436137. The reversal of 83436125 is 52163438.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 2669956 + 80766169 = 1634^2 + 8987^2 .

It is not a de Polignac number, because 83436125 - 2⁴ = 83436109 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 83436091 and 83436100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1940354 + ... + 1940396.

It is an arithmetic number, because the mean of its divisors is an integer number (3125343).

Almost surely, 2^83436125 is an apocalyptic number.

It is an amenable number.

83436125 is a deficient number, since it is larger than the sum of its proper divisors (29076223).

83436125 is an equidigital number, since it uses as much as digits as its factorization.

83436125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 67 counting only the distinct ones).

The product of its digits is 17280, while the sum is 32.

The square root of 83436125 is about 9134.3376880866. The cubic root of 83436125 is about 436.9697521597.

The spelling of 83436125 in words is "eighty-three million, four hundred thirty-six thousand, one hundred twenty-five".