83947752 has 192 divisors, whose sum is σ = 279552000. Its totient is φ = 23094720.

The previous prime is 83947741. The next prime is 83947763. The reversal of 83947752 is 25774938.

It is an interprime number because it is at equal distance from previous prime (83947741) and next prime (83947763).

It is a junction number, because it is equal to n+sod(n) for n = 83947698 and 83947707.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 421749 + ... + 421947.

It is an arithmetic number, because the mean of its divisors is an integer number (1456000).

Almost surely, 2^83947752 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 83947752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139776000).

83947752 is an abundant number, since it is smaller than the sum of its proper divisors (195604248).

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

83947752 is a wasteful number, since it uses less digits than its factorization.

83947752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 242 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 83947752 is about 9162.3005844602. The cubic root of 83947752 is about 437.8610931258.

The spelling of 83947752 in words is "eighty-three million, nine hundred forty-seven thousand, seven hundred fifty-two".