964405 has 16 divisors (see below), whose sum is σ = 1283184. Its totient is φ = 691200.

The previous prime is 964373. The next prime is 964417. The reversal of 964405 is 504469.

It can be written as a sum of positive squares in 8 ways, for example, as 86436 + 877969 = 294^2 + 937^2 .

It is not a de Polignac number, because 964405 - 2⁵ = 964373 is a prime.

It is a Duffinian number.

964405 is a lucky number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2205 + ... + 2605.

It is an arithmetic number, because the mean of its divisors is an integer number (80199).

2⁹⁶⁴⁴⁰⁵ is an apocalyptic number.

964405 is the 802-nd pentagonal number.

It is an amenable number.

964405 is a deficient number, since it is larger than the sum of its proper divisors (318779).

964405 is a wasteful number, since it uses less digits than its factorization.

964405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456.

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 964405 is about 982.0412414965. The cubic root of 964405 is about 98.7991370050.

It can be divided in two parts, 964 and 405, that added together give a square (1369 = 37²).

The spelling of 964405 in words is "nine hundred sixty-four thousand, four hundred five".