97438950 has 180 divisors, whose sum is σ = 315579132. Its totient is φ = 22226400.

The previous prime is 97438949. The next prime is 97438961. The reversal of 97438950 is 5983479.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 97438896 and 97438905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 198205 + ... + 198695.

Almost surely, 2^97438950 is an apocalyptic number.

97438950 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 97438950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157789566).

97438950 is an abundant number, since it is smaller than the sum of its proper divisors (218140182).

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

97438950 is a wasteful number, since it uses less digits than its factorization.

97438950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 97438950 is about 9871.1169580752. The cubic root of 97438950 is about 460.1621199203.

The spelling of 97438950 in words is "ninety-seven million, four hundred thirty-eight thousand, nine hundred fifty".