83954 has 8 divisors (see below), whose sum is σ = 135660. Its totient is φ = 38736.

The previous prime is 83939. The next prime is 83969. The reversal of 83954 is 45938.

It is an interprime number because it is at equal distance from previous prime (83939) and next prime (83969).

It can be written as a sum of positive squares in 2 ways, for example, as 76729 + 7225 = 277^2 + 85^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is an unprimeable number.

83954 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 3 ways as a sum of consecutive naturals, for example, 1589 + ... + 1640.

2⁸³⁹⁵⁴ is an apocalyptic number.

83954 is a deficient number, since it is larger than the sum of its proper divisors (51706).

83954 is a wasteful number, since it uses less digits than its factorization.

83954 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3244.

The product of its digits is 4320, while the sum is 29.

The square root of 83954 is about 289.7481665171. The cubic root of 83954 is about 43.7871955788.

The spelling of 83954 in words is "eighty-three thousand, nine hundred fifty-four".