91617834 has 64 divisors (see below), whose sum is σ = 235855872. Its totient is φ = 23025600.

The previous prime is 91617797. The next prime is 91617857. The reversal of 91617834 is 43871619.

It is a junction number, because it is equal to n+sod(n) for n = 91617792 and 91617801.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11124 + ... + 17520.

It is an arithmetic number, because the mean of its divisors is an integer number (3685248).

Almost surely, 2^91617834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91617834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117927936).

91617834 is an abundant number, since it is smaller than the sum of its proper divisors (144238038).

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

91617834 is a wasteful number, since it uses less digits than its factorization.

91617834 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6451.

The product of its digits is 36288, while the sum is 39.

The square root of 91617834 is about 9571.7205349927. The cubic root of 91617834 is about 450.8097912600.

The spelling of 91617834 in words is "ninety-one million, six hundred seventeen thousand, eight hundred thirty-four".