61007 has 2 divisors, whose sum is σ = 61008. Its totient is φ = 61006.

The previous prime is 61001. The next prime is 61027. The reversal of 61007 is 70016.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 61007 - 2⁶ = 60943 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 60982 and 61000.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 61007.

It is not a weakly prime, because it can be changed into another prime (61001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 30503 + 30504.

It is an arithmetic number, because the mean of its divisors is an integer number (30504).

2⁶¹⁰⁰⁷ is an apocalyptic number.

61007 is a deficient number, since it is larger than the sum of its proper divisors (1).

61007 is an equidigital number, since it uses as much as digits as its factorization.

61007 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 42, while the sum is 14.

The square root of 61007 is about 246.9959513838. The cubic root of 61007 is about 39.3664775374.

Subtracting 61007 from its reverse (70016), we obtain a palindrome (9009).

The spelling of 61007 in words is "sixty-one thousand, seven".