83251476 has 240 divisors, whose sum is σ = 281014272. Its totient is φ = 20865600.

The previous prime is 83251459. The next prime is 83251477. The reversal of 83251476 is 67415238.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 83251476.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83251477) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1172521 + ... + 1172591.

Almost surely, 2^83251476 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83251476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140507136).

83251476 is an abundant number, since it is smaller than the sum of its proper divisors (197762796).

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

83251476 is a wasteful number, since it uses less digits than its factorization.

83251476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 141 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 83251476 is about 9124.2246793906. The cubic root of 83251476 is about 436.6471675797.

It can be divided in two parts, 8325 and 1476, that added together give a square (9801 = 99²).

The spelling of 83251476 in words is "eighty-three million, two hundred fifty-one thousand, four hundred seventy-six".