83200962 has 64 divisors (see below), whose sum is σ = 194826240. Its totient is φ = 23457600.

The previous prime is 83200879. The next prime is 83200969. The reversal of 83200962 is 26900238.

It is not an unprimeable number, because it can be changed into a prime (83200969) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45037 + ... + 46847.

It is an arithmetic number, because the mean of its divisors is an integer number (3044160).

Almost surely, 2^83200962 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83200962, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97413120).

83200962 is an abundant number, since it is smaller than the sum of its proper divisors (111625278).

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

83200962 is a wasteful number, since it uses less digits than its factorization.

83200962 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1879.

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 83200962 is about 9121.4561337541. The cubic root of 83200962 is about 436.5588357820.

The spelling of 83200962 in words is "eighty-three million, two hundred thousand, nine hundred sixty-two".