97461000 has 576 divisors, whose sum is σ = 436952880. Its totient is φ = 19353600.

The previous prime is 97460999. The next prime is 97461043. The reversal of 97461000 is 16479.

It can be written as a sum of positive squares in 8 ways, for example, as 1695204 + 95765796 = 1302^2 + 9786^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5732992 + ... + 5733008.

Almost surely, 2^97461000 is an apocalyptic number.

97461000 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 97461000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218476440).

97461000 is an abundant number, since it is smaller than the sum of its proper divisors (339491880).

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

97461000 is a wasteful number, since it uses less digits than its factorization.

97461000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 97461000 is about 9872.2337897763. The cubic root of 97461000 is about 460.1968281811.

Adding to 97461000 its reverse (16479), we get a palindrome (97477479).

The spelling of 97461000 in words is "ninety-seven million, four hundred sixty-one thousand".