83754 has 40 divisors (see below), whose sum is σ = 209088. Its totient is φ = 24840.

The previous prime is 83737. The next prime is 83761. The reversal of 83754 is 45738.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

83754 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1759 + ... + 1805.

2⁸³⁷⁵⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83754, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104544).

83754 is an abundant number, since it is smaller than the sum of its proper divisors (125334).

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

83754 is a wasteful number, since it uses less digits than its factorization.

83754 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 63 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 83754 is about 289.4028334346. The cubic root of 83754 is about 43.7523971476.

The spelling of 83754 in words is "eighty-three thousand, seven hundred fifty-four".