83485152 has 72 divisors (see below), whose sum is σ = 238643496. Its totient is φ = 27684096.

The previous prime is 83485141. The next prime is 83485153. The reversal of 83485152 is 25158438.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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 (83485153) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64738 + ... + 66014.

It is an arithmetic number, because the mean of its divisors is an integer number (3314493).

Almost surely, 2^83485152 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 83485152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119321748).

83485152 is an abundant number, since it is smaller than the sum of its proper divisors (155158344).

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

83485152 is a wasteful number, since it uses less digits than its factorization.

83485152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1520 (or 1509 counting only the distinct ones).

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

The square root of 83485152 is about 9137.0209587152. The cubic root of 83485152 is about 437.0553230931.

The spelling of 83485152 in words is "eighty-three million, four hundred eighty-five thousand, one hundred fifty-two".