83792742 has 48 divisors (see below), whose sum is σ = 185416896. Its totient is φ = 25225200.

The previous prime is 83792729. The next prime is 83792747. The reversal of 83792742 is 24729738.

It is a super-2 number, since 2×83792742² = 14042447223757128, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 83792694 and 83792703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83792747) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 152913 + ... + 153459.

It is an arithmetic number, because the mean of its divisors is an integer number (3862852).

Almost surely, 2^83792742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83792742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92708448).

83792742 is an abundant number, since it is smaller than the sum of its proper divisors (101624154).

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

83792742 is a wasteful number, since it uses less digits than its factorization.

83792742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785 (or 774 counting only the distinct ones).

The product of its digits is 169344, while the sum is 42.

The square root of 83792742 is about 9153.8375559106. The cubic root of 83792742 is about 437.5914227447.

The spelling of 83792742 in words is "eighty-three million, seven hundred ninety-two thousand, seven hundred forty-two".