1962225 has 72 divisors (see below), whose sum is σ = 4062240. Its totient is φ = 933120.

The previous prime is 1962211. The next prime is 1962239. The reversal of 1962225 is 5222691.

1962225 is a `hidden beast` number, since 19 + 622 + 25 = 666.

It is an interprime number because it is at equal distance from previous prime (1962211) and next prime (1962239).

It is not a de Polignac number, because 1962225 - 2⁴ = 1962209 is a prime.

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

It is an Ulam number.

It is a Curzon 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 71 ways as a sum of consecutive naturals, for example, 103266 + ... + 103284.

It is an arithmetic number, because the mean of its divisors is an integer number (56420).

2^1962225 is an apocalyptic number.

1962225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1962225 is an abundant number, since it is smaller than the sum of its proper divisors (2100015).

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

1962225 is a wasteful number, since it uses less digits than its factorization.

1962225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 44 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 1962225 is about 1400.7944174646. The cubic root of 1962225 is about 125.1938326093.

It can be divided in two parts, 1962 and 225, that added together give a 7-th power (2187 = 3⁷).

The spelling of 1962225 in words is "one million, nine hundred sixty-two thousand, two hundred twenty-five".