83314032 has 80 divisors (see below), whose sum is σ = 220938240. Its totient is φ = 27046656.

The previous prime is 83313977. The next prime is 83314037. The reversal of 83314032 is 23041338.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 83313993 and 83314011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83314037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 481498 + ... + 481670.

It is an arithmetic number, because the mean of its divisors is an integer number (2761728).

Almost surely, 2^83314032 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 83314032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110469120).

83314032 is an abundant number, since it is smaller than the sum of its proper divisors (137624208).

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

83314032 is a wasteful number, since it uses less digits than its factorization.

83314032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 83314032 is about 9127.6520529652. The cubic root of 83314032 is about 436.7565072288.

The spelling of 83314032 in words is "eighty-three million, three hundred fourteen thousand, thirty-two".