1966629 has 16 divisors (see below), whose sum is σ = 3041280. Its totient is φ = 1107120.

The previous prime is 1966619. The next prime is 1966663. The reversal of 1966629 is 9266691.

1966629 = 322² + 323² + ... + 339².

It is not a de Polignac number, because 1966629 - 2⁵ = 1966597 is a prime.

1966629 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1966619) 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, 832 + ... + 2150.

It is an arithmetic number, because the mean of its divisors is an integer number (190080).

2^1966629 is an apocalyptic number.

It is an amenable number.

1966629 is a deficient number, since it is larger than the sum of its proper divisors (1074651).

1966629 is a wasteful number, since it uses less digits than its factorization.

1966629 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1400.

The product of its digits is 34992, while the sum is 39.

The square root of 1966629 is about 1402.3655015723. The cubic root of 1966629 is about 125.2874239267.

The spelling of 1966629 in words is "one million, nine hundred sixty-six thousand, six hundred twenty-nine".