83485512 has 128 divisors (see below), whose sum is σ = 259459200. Its totient is φ = 24652800.

The previous prime is 83485499. The next prime is 83485513. The reversal of 83485512 is 21558438.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83485513) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96988 + ... + 97844.

It is an arithmetic number, because the mean of its divisors is an integer number (2027025).

Almost surely, 2^83485512 is an apocalyptic number.

83485512 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83485512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129729600).

83485512 is an abundant number, since it is smaller than the sum of its proper divisors (175973688).

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

83485512 is a wasteful number, since it uses less digits than its factorization.

83485512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 924 (or 914 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 83485512 is about 9137.0406587691. The cubic root of 83485512 is about 437.0559513074.

The spelling of 83485512 in words is "eighty-three million, four hundred eighty-five thousand, five hundred twelve".