213961 has 8 divisors (see below), whose sum is σ = 238464. Its totient is φ = 190320.

The previous prime is 213953. The next prime is 213973. The reversal of 213961 is 169312.

213961 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 a cyclic number.

It is not a de Polignac number, because 213961 - 2³ = 213953 is a prime.

It is a Duffinian number.

213961 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213901) 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, 400 + ... + 766.

It is an arithmetic number, because the mean of its divisors is an integer number (29808).

2²¹³⁹⁶¹ is an apocalyptic number.

It is an amenable number.

213961 is a deficient number, since it is larger than the sum of its proper divisors (24503).

213961 is a wasteful number, since it uses less digits than its factorization.

213961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431.

The product of its digits is 324, while the sum is 22.

The square root of 213961 is about 462.5591854023. The cubic root of 213961 is about 59.8106065011.

The spelling of 213961 in words is "two hundred thirteen thousand, nine hundred sixty-one".