966301 has 16 divisors (see below), whose sum is σ = 1174528. Its totient is φ = 777600.

The previous prime is 966293. The next prime is 966307. The reversal of 966301 is 103669.

It is a 5-Lehmer number, since φ(966301) divides (966301-1)⁵.

It is a cyclic number.

It is not a de Polignac number, because 966301 - 2³ = 966293 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (966307) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13201 + ... + 13273.

It is an arithmetic number, because the mean of its divisors is an integer number (73408).

2⁹⁶⁶³⁰¹ is an apocalyptic number.

It is an amenable number.

966301 is a deficient number, since it is larger than the sum of its proper divisors (208227).

966301 is a wasteful number, since it uses less digits than its factorization.

966301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172.

The product of its (nonzero) digits is 972, while the sum is 25.

The square root of 966301 is about 983.0061037450. The cubic root of 966301 is about 98.8638402987.

The spelling of 966301 in words is "nine hundred sixty-six thousand, three hundred one".