83947104 has 120 divisors (see below), whose sum is σ = 249729480. Its totient is φ = 27661824.

The previous prime is 83947093. The next prime is 83947109. The reversal of 83947104 is 40174938.

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 (83947109) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 360172 + ... + 360404.

It is an arithmetic number, because the mean of its divisors is an integer number (2081079).

Almost surely, 2^83947104 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 83947104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124864740).

83947104 is an abundant number, since it is smaller than the sum of its proper divisors (165782376).

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

83947104 is a wasteful number, since it uses less digits than its factorization.

83947104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 83947104 is about 9162.2652220944. The cubic root of 83947104 is about 437.8599664936.

The spelling of 83947104 in words is "eighty-three million, nine hundred forty-seven thousand, one hundred four".