61972251 has 16 divisors (see below), whose sum is σ = 90944640. Its totient is φ = 37224320.

The previous prime is 61972249. The next prime is 61972271. The reversal of 61972251 is 15227916.

It is a cyclic number.

It is not a de Polignac number, because 61972251 - 2¹ = 61972249 is a prime.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (61972201) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4581 + ... + 12038.

It is an arithmetic number, because the mean of its divisors is an integer number (5684040).

Almost surely, 2^61972251 is an apocalyptic number.

61972251 is a deficient number, since it is larger than the sum of its proper divisors (28972389).

61972251 is a wasteful number, since it uses less digits than its factorization.

With its successor (61972252) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (16746).

61972251 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16746.

The product of its digits is 7560, while the sum is 33.

The square root of 61972251 is about 7872.2456135464. The cubic root of 61972251 is about 395.7301050953.

It can be divided in two parts, 6197 and 2251, that added together give a palindrome (8448).

The spelling of 61972251 in words is "sixty-one million, nine hundred seventy-two thousand, two hundred fifty-one".