61627 has 2 divisors, whose sum is σ = 61628. Its totient is φ = 61626.

The previous prime is 61613. The next prime is 61631. The reversal of 61627 is 72616.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 61627 - 2¹⁵ = 28859 is a prime.

It is a Chen prime.

It is a plaindrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 61598 and 61607.

It is not a weakly prime, because it can be changed into another prime (61637) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 30813 + 30814.

It is an arithmetic number, because the mean of its divisors is an integer number (30814).

2⁶¹⁶²⁷ is an apocalyptic number.

61627 is a deficient number, since it is larger than the sum of its proper divisors (1).

61627 is an equidigital number, since it uses as much as digits as its factorization.

61627 is an evil number, because the sum of its binary digits is even.

The product of its digits is 504, while the sum is 22.

The square root of 61627 is about 248.2478600109. The cubic root of 61627 is about 39.4993857726.

It can be divided in two parts, 6162 and 7, that multiplied together give a palindrome (43134).

The spelling of 61627 in words is "sixty-one thousand, six hundred twenty-seven".