1967085 has 24 divisors (see below), whose sum is σ = 3538080. Its totient is φ = 1048464.

The previous prime is 1967071. The next prime is 1967101. The reversal of 1967085 is 5807691.

It is not a de Polignac number, because 1967085 - 2¹⁹ = 1442797 is a prime.

1967085 is a lucky number.

It is a plaindrome in base 11.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 406 + ... + 2024.

It is an arithmetic number, because the mean of its divisors is an integer number (147420).

2^1967085 is an apocalyptic number.

1967085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1967085 is a deficient number, since it is larger than the sum of its proper divisors (1570995).

1967085 is an equidigital number, since it uses as much as digits as its factorization.

1967085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1639 (or 1627 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 1967085 is about 1402.5280745853. The cubic root of 1967085 is about 125.2971065952.

Subtracting 1967085 from its reverse (5807691), we obtain a triangular number (3840606 = T₂₇₇₁).

The spelling of 1967085 in words is "one million, nine hundred sixty-seven thousand, eighty-five".