97713000 has 512 divisors, whose sum is σ = 431308800. Its totient is φ = 19872000.

The previous prime is 97712987. The next prime is 97713019. The reversal of 97713000 is 31779.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2078977 + ... + 2079023.

It is an arithmetic number, because the mean of its divisors is an integer number (842400).

Almost surely, 2^97713000 is an apocalyptic number.

97713000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97713000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215654400).

97713000 is an abundant number, since it is smaller than the sum of its proper divisors (333595800).

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

97713000 is a wasteful number, since it uses less digits than its factorization.

97713000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 1323, while the sum is 27.

The square root of 97713000 is about 9884.9886191133. The cubic root of 97713000 is about 460.5931227392.

Adding to 97713000 its reverse (31779), we get a palindrome (97744779).

The spelling of 97713000 in words is "ninety-seven million, seven hundred thirteen thousand".