195951 has 24 divisors (see below), whose sum is σ = 321024. Its totient is φ = 105840.

The previous prime is 195931. The next prime is 195967. The reversal of 195951 is 159591.

195951 = 64² + 65² + ... + 94².

It is not a de Polignac number, because 195951 - 2⁵ = 195919 is a prime.

It is an Ulam number.

195951 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (195931) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4536 + ... + 4578.

It is an arithmetic number, because the mean of its divisors is an integer number (13376).

2¹⁹⁵⁹⁵¹ is an apocalyptic number.

195951 is a deficient number, since it is larger than the sum of its proper divisors (125073).

195951 is a wasteful number, since it uses less digits than its factorization.

195951 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 84 counting only the distinct ones).

The product of its digits is 2025, while the sum is 30.

The square root of 195951 is about 442.6635291053. The cubic root of 195951 is about 58.0830162774.

The spelling of 195951 in words is "one hundred ninety-five thousand, nine hundred fifty-one".