97854 has 16 divisors (see below), whose sum is σ = 200448. Its totient is φ = 31832.

The previous prime is 97849. The next prime is 97859. The reversal of 97854 is 45879.

It is an interprime number because it is at equal distance from previous prime (97849) and next prime (97859).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97859) by changing a digit.

97854 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 7 ways as a sum of consecutive naturals, for example, 109 + ... + 455.

It is an arithmetic number, because the mean of its divisors is an integer number (12528).

2⁹⁷⁸⁵⁴ is an apocalyptic number.

97854 is a gapful number since it is divisible by the number (94) formed by its first and last digit.

97854 is an abundant number, since it is smaller than the sum of its proper divisors (102594).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100224).

97854 is a wasteful number, since it uses less digits than its factorization.

97854 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399.

The product of its digits is 10080, while the sum is 33.

The square root of 97854 is about 312.8162399876. The cubic root of 97854 is about 46.0814561775.

Multiplying 97854 by its product of digits (10080), we get a triangular number (986368320 = T₄₄₄₁₅).

The spelling of 97854 in words is "ninety-seven thousand, eight hundred fifty-four".