1966815 has 32 divisors (see below), whose sum is σ = 3706560. Its totient is φ = 986112.

The previous prime is 1966813. The next prime is 1966817. The reversal of 1966815 is 5186691.

It is an interprime number because it is at equal distance from previous prime (1966813) and next prime (1966817).

It is not a de Polignac number, because 1966815 - 2¹ = 1966813 is a prime.

It is a super-2 number, since 2×1966815² = 7736722488450, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1966815.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1966813) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1867 + ... + 2723.

It is an arithmetic number, because the mean of its divisors is an integer number (115830).

2^1966815 is an apocalyptic number.

1966815 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1966815 is a deficient number, since it is larger than the sum of its proper divisors (1739745).

1966815 is a wasteful number, since it uses less digits than its factorization.

1966815 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 888 (or 882 counting only the distinct ones).

The product of its digits is 12960, while the sum is 36.

The square root of 1966815 is about 1402.4318165244. The cubic root of 1966815 is about 125.2913736169.

It can be divided in two parts, 19668 and 15, that added together give a 9-th power (19683 = 3⁹).

The spelling of 1966815 in words is "one million, nine hundred sixty-six thousand, eight hundred fifteen".