601965 has 64 divisors (see below), whose sum is σ = 1344000. Its totient is φ = 254016.

The previous prime is 601961. The next prime is 601969. The reversal of 601965 is 569106.

It is an interprime number because it is at equal distance from previous prime (601961) and next prime (601969).

It is not a de Polignac number, because 601965 - 2² = 601961 is a prime.

It is a super-2 number, since 2×601965² = 724723722450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

601965 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (601961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46299 + ... + 46311.

It is an arithmetic number, because the mean of its divisors is an integer number (21000).

2⁶⁰¹⁹⁶⁵ is an apocalyptic number.

601965 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

601965 is an abundant number, since it is smaller than the sum of its proper divisors (742035).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

601965 is a wasteful number, since it uses less digits than its factorization.

601965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 601965 is about 775.8640344803. The cubic root of 601965 is about 84.4352409304.

It can be divided in two parts, 6019 and 65, that added together give a square (6084 = 78²).

The spelling of 601965 in words is "six hundred one thousand, nine hundred sixty-five".