61967 has 2 divisors, whose sum is σ = 61968. Its totient is φ = 61966.

The previous prime is 61961. The next prime is 61979. The reversal of 61967 is 76916.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 61967 - 2¹⁰ = 60943 is a prime.

It is a Chen prime.

It is a plaindrome in base 13.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (61961) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 30983 + 30984.

It is an arithmetic number, because the mean of its divisors is an integer number (30984).

2⁶¹⁹⁶⁷ is an apocalyptic number.

61967 is a deficient number, since it is larger than the sum of its proper divisors (1).

61967 is an equidigital number, since it uses as much as digits as its factorization.

61967 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2268, while the sum is 29.

The square root of 61967 is about 248.9317175452. The cubic root of 61967 is about 39.5718927848.

It can be divided in two parts, 619 and 67, that added together give a palindrome (686).

The spelling of 61967 in words is "sixty-one thousand, nine hundred sixty-seven".