1961000 has 64 divisors (see below), whose sum is σ = 4801680. Its totient is φ = 748800.

The previous prime is 1960993. The next prime is 1961021. The reversal of 1961000 is 1691.

1961000 = 59³ + 60³ + ... + 66³.

It can be written as a sum of positive squares in 8 ways, for example, as 487204 + 1473796 = 698^2 + 1214^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1961000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36974 + ... + 37026.

2^1961000 is an apocalyptic number.

1961000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1961000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2400840).

1961000 is an abundant number, since it is smaller than the sum of its proper divisors (2840680).

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

1961000 is a wasteful number, since it uses less digits than its factorization.

1961000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 17.

The square root of 1961000 is about 1400.3570973148. The cubic root of 1961000 is about 125.1677747124.

Adding to 1961000 its reverse (1691), we get a palindrome (1962691).

The spelling of 1961000 in words is "one million, nine hundred sixty-one thousand".