97519950 has 180 divisors, whose sum is σ = 299329800. Its totient is φ = 23522400.

The previous prime is 97519943. The next prime is 97519957. The reversal of 97519950 is 5991579.

It is an interprime number because it is at equal distance from previous prime (97519943) and next prime (97519957).

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 = 97519896 and 97519905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97519957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 489951 + ... + 490149.

Almost surely, 2^97519950 is an apocalyptic number.

97519950 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 97519950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149664900).

97519950 is an abundant number, since it is smaller than the sum of its proper divisors (201809850).

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

97519950 is a wasteful number, since it uses less digits than its factorization.

97519950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 127575, while the sum is 45.

The square root of 97519950 is about 9875.2189849137. The cubic root of 97519950 is about 460.2895939548.

It can be divided in two parts, 9751 and 9950, that added together give a triangular number (19701 = T₁₉₈).

The spelling of 97519950 in words is "ninety-seven million, five hundred nineteen thousand, nine hundred fifty".