97014 has 32 divisors (see below), whose sum is σ = 218880. Its totient is φ = 28512.

The previous prime is 97007. The next prime is 97021. The reversal of 97014 is 41079.

It is an interprime number because it is at equal distance from previous prime (97007) and next prime (97021).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 97014.

It is an unprimeable number.

97014 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 15 ways as a sum of consecutive naturals, for example, 2604 + ... + 2640.

It is an arithmetic number, because the mean of its divisors is an integer number (6840).

2⁹⁷⁰¹⁴ is an apocalyptic number.

97014 is an abundant number, since it is smaller than the sum of its proper divisors (121866).

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 (109440).

97014 is a wasteful number, since it uses less digits than its factorization.

97014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84.

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 97014 is about 311.4707048825. The cubic root of 97014 is about 45.9492193248.

Multiplying 97014 by its product of nonzero digits (252), we get a triangular number (24447528 = T₆₉₉₂).

The spelling of 97014 in words is "ninety-seven thousand, fourteen".