61997 has 8 divisors (see below), whose sum is σ = 70560. Its totient is φ = 54000.

The previous prime is 61991. The next prime is 62003. The reversal of 61997 is 79916.

It is an interprime number because it is at equal distance from previous prime (61991) and next prime (62003).

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

It is a cyclic number.

It is not a de Polignac number, because 61997 - 2⁴ = 61981 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61991) 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, 122 + ... + 372.

It is an arithmetic number, because the mean of its divisors is an integer number (8820).

2⁶¹⁹⁹⁷ is an apocalyptic number.

It is an amenable number.

61997 is a deficient number, since it is larger than the sum of its proper divisors (8563).

61997 is a wasteful number, since it uses less digits than its factorization.

61997 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283.

The product of its digits is 3402, while the sum is 32.

The square root of 61997 is about 248.9919677419. The cubic root of 61997 is about 39.5782777169.

The spelling of 61997 in words is "sixty-one thousand, nine hundred ninety-seven".