61707 has 8 divisors (see below), whose sum is σ = 83776. Its totient is φ = 40392.

The previous prime is 61703. The next prime is 61717. The reversal of 61707 is 70716.

61707 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 61707 - 2² = 61703 is a prime.

It is a Duffinian number.

61707 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (61703) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48 + ... + 354.

It is an arithmetic number, because the mean of its divisors is an integer number (10472).

2⁶¹⁷⁰⁷ is an apocalyptic number.

61707 is a gapful number since it is divisible by the number (67) formed by its first and last digit.

61707 is a deficient number, since it is larger than the sum of its proper divisors (22069).

61707 is a wasteful number, since it uses less digits than its factorization.

61707 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377.

The product of its (nonzero) digits is 294, while the sum is 21.

The square root of 61707 is about 248.4089370373. The cubic root of 61707 is about 39.5164701918.

Adding to 61707 its product of nonzero digits (294), we get a square (62001 = 249²).

Subtracting 61707 from its reverse (70716), we obtain a palindrome (9009).

The spelling of 61707 in words is "sixty-one thousand, seven hundred seven".